101114029 has 8 divisors (see below), whose sum is σ = 107491680. Its totient is φ = 94842000.

The previous prime is 101114009. The next prime is 101114059. The reversal of 101114029 is 920411101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101114029 - 2⁵ = 101113997 is a prime.

It is a super-2 number, since 2×101114029² = 20448093721225682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101113997 and 101114015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24427 + ... + 28264.

It is an arithmetic number, because the mean of its divisors is an integer number (13436460).

Almost surely, 2^101114029 is an apocalyptic number.

101114029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101114029 is a deficient number, since it is larger than the sum of its proper divisors (6377651).

101114029 is a wasteful number, since it uses less digits than its factorization.

101114029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52811.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 101114029 is about 10055.5471755643. The cubic root of 101114029 is about 465.8761436571.

The spelling of 101114029 in words is "one hundred one million, one hundred fourteen thousand, twenty-nine".